Use the Sign Test to Test the Indicated Claim

question 46

Essay

Use the sign test to test the indicated claim. The heights of 16 randomly selected women are given below. Use a
significance level of 0.05 to test the claim that the population median is equal to 64.0 inches. $$\begin{array} { | l l l l l l l l | } \hline 62.9 & 61.9 & 66.4 & 68.5 & 63.7 & 64.0 & 65.2 & 67.0 \\70.2 & 65.3 & 64.0 & 60.3 & 64.3 & 66.9 & 65.0 & 63.8 \\\hline\end{array}$$

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Definitions:

Significance Level

The probability of rejecting the null hypothesis in a statistical test when it is actually true, typically denoted by alpha (α).

Pilots' Union

An organization representing the collective interests of pilots, often involved in bargaining for better wages, working conditions, and safety standards.

Confidence Interval

A range of values, derived from the sample data, that is likely to contain the value of an unknown population parameter.

Hypotheses

Statements or predictions that are formulated for empirical testing, representing the initial step in the scientific method.